## AP Calculus BC

I have the privilege of teaching Calculus BC to students who have ALREADY taken Calculus AB. This course is beneficial to students in a multitude of ways:

1.) If students did not pass the AB exam, the BC exam gives a second opportunity to get college credit in math. Remember, the BC exam gives students TWO scores: an AB "sub-score" which gives students a score on only the AB components of the BC exam, and BC score which tests on the BC parts of the exam. It is possible for students to pass (get a 3 or higher) the AB portion of the test, but not the BC, and vice versa. Ideally, of course, you pass both pieces!

2.) The BC curriculum CAN be squished into the AB curriculum. However, you really miss out of the meat of the curriculum if you speed through it. Teaching BC Calculus over the course of a year, instead of just a month or two, allows students to delve much deeper into the concepts presented, attain better comprehension of the subject matter, and hopefully retain the material for a longer period of time.

However, as I only have 4 or 5 students each year in AB Calculus who are not seniors, this means my BC class the following year is only those 4 or 5 students. That number of students falls below the district threshold for allowable class sizes, so in order for my class to exist, I teach a dual class. North Valleys has a 45 minute enrichment period every morning. My enrichment period is a "Freshmen Seminar", and more specifically Algebra Support for Freshmen. I'm lucky enough to have upper-class-level mentors in Algebra Support who are capable of running short lessons on Mondays and Fridays. This allows me to spend time with my BC Calculus students in the back of the classroom. We hold to the approximate following schedule:

Every few weeks, we have an exam. Here is the list of units for BC Calculus, with corresponding hyperlinks:

1.) If students did not pass the AB exam, the BC exam gives a second opportunity to get college credit in math. Remember, the BC exam gives students TWO scores: an AB "sub-score" which gives students a score on only the AB components of the BC exam, and BC score which tests on the BC parts of the exam. It is possible for students to pass (get a 3 or higher) the AB portion of the test, but not the BC, and vice versa. Ideally, of course, you pass both pieces!

2.) The BC curriculum CAN be squished into the AB curriculum. However, you really miss out of the meat of the curriculum if you speed through it. Teaching BC Calculus over the course of a year, instead of just a month or two, allows students to delve much deeper into the concepts presented, attain better comprehension of the subject matter, and hopefully retain the material for a longer period of time.

However, as I only have 4 or 5 students each year in AB Calculus who are not seniors, this means my BC class the following year is only those 4 or 5 students. That number of students falls below the district threshold for allowable class sizes, so in order for my class to exist, I teach a dual class. North Valleys has a 45 minute enrichment period every morning. My enrichment period is a "Freshmen Seminar", and more specifically Algebra Support for Freshmen. I'm lucky enough to have upper-class-level mentors in Algebra Support who are capable of running short lessons on Mondays and Fridays. This allows me to spend time with my BC Calculus students in the back of the classroom. We hold to the approximate following schedule:

__Monday__: Introduce a week's worth of lessons to BC Calculus. They are short; mostly a mix of worksheets and bookwork. For the more challenging topics, I will have videos posted (hopefully the Sunday before introducing the lessons) of the worksheets so the students can self-pace their learning throughout the week. Additionally, an online quiz through MathXL for Schools opens Monday for the topics of the week. The quiz itself is due by the next Sunday. However, the expectation is that students try the quiz by Friday. Students may attempt the quiz as many times as needed, as it repopulates in a different order with different questions. It is timed.__Tuesday - Thursday:__My BC Calculus students need to check in with me each morning, but one of the qualities of our morning enrichment is that they can visit other teachers. If they would like to stay and work in my classroom, they can, including asking questions . However, if they need to visit another teacher, they may as well. I have an extra computer in the classroom where they can take the weekly quiz.__Friday:__As students should have tried the online quiz at this point, Friday serves two purposes. First, I check the assignments given on Monday for the weekly topics. Second, we discuss any questions on the online quiz.Every few weeks, we have an exam. Here is the list of units for BC Calculus, with corresponding hyperlinks:

*Semester 1*__Integration Techniques & Arc Length__**Unit 1:**__Sequences & Tests for Series Convergence__**Unit 2:**__Power Series__**Unit 3:***Semester 2*__Parametric, Polar, and Vector Equations__**Unit 4:**__Euler's Method & Logistic Equations__**Unit 5:**__AP Test Prep__**Unit 6:**